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Frobenius Modules Associated to Algebra Automorphisms

Author

Listed:
  • Ji-Wei He

    (School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China)

  • Chenglong Rong

    (School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China)

Abstract

Here, we study Frobenius bimodules associated with a pair of automorphisms of an algebra and discuss their basic properties. In particular, some equivalent conditions for a finite-dimensional bimodule are proved to be Frobenius and some isomorphisms between Ext-groups and Tor-groups of Frobenius modules over finite dimensional algebras are established.

Suggested Citation

  • Ji-Wei He & Chenglong Rong, 2024. "Frobenius Modules Associated to Algebra Automorphisms," Mathematics, MDPI, vol. 12(4), pages 1-10, February.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:4:p:531-:d:1336000
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